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Finding the Fourth Proportional to 73,006, 100,762.98 and 41,175.52

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Solution

The fourth proportional to 73,006, 100,762.98 and 41,175.52 is: 56,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,006 : 100,762.98 = 41,175.52 : x
  2. Step 2: Convert to fraction form
    73,006/100,762.98 = 41,175.52/x
  3. Step 3: Cross multiply
    73,006x = 100,762.98 × 41,175.52
  4. Step 4: Simplify right side
    73,006x = 4,148,968,098.25
  5. Step 5: Solve for x
    x = 4,148,968,098.25/73,006
  6. Step 6: Final answer
    x = 56,830.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.